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Finding the Fourth Proportional to 47,550.40, 65,603.40 and 27,406.64

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Solution

The fourth proportional to 47,550.40, 65,603.40 and 27,406.64 is: 37,811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,550.40 : 65,603.40 = 27,406.64 : x
  2. Step 2: Convert to fraction form
    47,550.40/65,603.40 = 27,406.64/x
  3. Step 3: Cross multiply
    47,550.40x = 65,603.40 × 27,406.64
  4. Step 4: Simplify right side
    47,550.40x = 1,797,968,766.58
  5. Step 5: Solve for x
    x = 1,797,968,766.58/47,550.40
  6. Step 6: Final answer
    x = 37,811.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.